Pith Number

pith:FRPFQOHQ

pith:2019:FRPFQOHQSD2DP5W4CRZTUKZC5Y

not attested not anchored not stored refs pending

Equivariant Hilbert series for hierarchical models

Aida Maraj, Uwe Nagel

arxiv:1909.13026 v2 · 2019-09-28 · math.AC · cs.SC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRPFQOHQSD2DP5W4CRZTUKZC5Y}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T02:33:45.899953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c5e5838f090f437f6dc14733a2b22ee1fed2f7319da8fffd181bee15e5157d6

Aliases

arxiv: 1909.13026 · arxiv_version: 1909.13026v2 · doi: 10.48550/arxiv.1909.13026 · pith_short_12: FRPFQOHQSD2D · pith_short_16: FRPFQOHQSD2DP5W4 · pith_short_8: FRPFQOHQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FRPFQOHQSD2DP5W4CRZTUKZC5Y \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2c5e5838f090f437f6dc14733a2b22ee1fed2f7319da8fffd181bee15e5157d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a95060f373ffc14a5bb2ae4b53c4e02cb776db2cc1d2d043f4671f634a66d2ec",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-09-28T05:15:24Z",
    "title_canon_sha256": "6641e66c618b84cca074bc2bf4abb501cba2bb867a404c5ee73622816ba92918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.13026",
    "kind": "arxiv",
    "version": 2
  }
}